Question

One fifth of the employees of Delta Industries, Inc., work in the Southeastern region. If the company employs 252 workers in that region, what is the total number of employees working for the company?

Answer 1

So, 252 is 1/5 of the total workforce then, the total or whole will then be 5/5 or 1 whole... well, if 252 is 1/5, what's 5/5?

$\bf \begin{array}{ccll} amount&fraction\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 252&\frac{1}{5}\\\\ x&\frac{5}{5} \end{array}\implies \cfrac{252}{x}=\cfrac{\frac{1}{5}}{\frac{5}{5}}\implies \cfrac{252}{x}=\cfrac{\frac{1}{5}}{1}\implies \cfrac{252}{x}=\cfrac{1}{5} \\\\\\ \cfrac{252\cdot 5}{1}=x$